Page 111 - ADVANCED MATH F.5

Form Five Form Five

4. Devise strategy that will engage students on the decomposition
of rational functions whose denominators consist of repeated
linear or quadratic factors. Use Example 5.68 in the Student’s
Book to assist students in expressing rational expression as
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partial fractions.
5. Guide students to discuss the decomposition of rational functions
when the degree of the numerator is equal to or higher than the
degree of the denominator. Use Example 5.69 and 5.70 in the
Student’s Book to assist students in expressing the rational
expression in terms of partial fractions.

6. Require students to attempt Exercise 5.12 in the Student’s Book.
Advise students to submit their work, check the correctness
of their answers, and provide them constructive feedback.
Encourage students to explore additional resources, such as
online tutorials or reference books, to deepen their understanding
and practice further.

Answers to Exercise 5.12

4 2 14 12x − 6
1. − 5. 1− +
x + 2 x + 1 x x −+ 1
x
2
2 4 8x + 13 1
2. − 6. 2 +
x − 3 x − 1 3(x + 2) 3(x + 1)
5 34 43 2 1 3
5
3. 12(x + 1) + 3(x − 2) − 4(x − 3) 7. y −+ y + 1 + y + 2 − y + 3

3 5x − 17 3 1 2 1 1
4. 13(x + 1) 13(x + + 2 3) 8. − 2(x − 1) + (x − 1) 2 + x − 2 − 2(x − ( 2 x − 3)) 3

36 8 8
16 − 13 11+ + −
2
9. 3(x + 1) + 3(x −+ 1) 10. ( 5 t + ) 2 53 t + ( 3 ) 53 t − ( 3 )
2
x
105
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:23
ADVANCED MATH F.5 TG CHAPTERS.indd 105
ADVANCED MATH F.5 TG CHAPTERS.indd 105 30/06/2024 18:02:23